If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA, then 

The maximum number of common tangents drawn to two circles when both the circles touch each other externally is 

If two complimentary angles are in the ratio of 4:5, find the greater angle.

ABCD is a cyclic quadrilateral and AD is a diameter. If ∠DAC=55° then value of ∠ABC is

The area of a circle is proportional to the square of its radius. A small circle of radius 3 cm is drawn within a larger circle of radius 5 cm. Find the ratio of the difference between the area of the larger circle and that of the smaller circle to the area of the larger circle.

Find the distance travelled by a 40 cm diameter wheel to cover a distance of 176 meters? Using (π=22/7)

ABC is an isosceles triangle with AB = AC. The side BA is produced to D such that AB = AD. If ∠ABC = 30°, then ∠BCD is equal to